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Grade 2 (age 7-8)

grade 2 Four-digit Numbers

A four-digit number is built from four places: thousands, hundreds, tens, and ones. It has one place more than a three-digit number, the new thousands place, so 3527 means three 1000s, five 100s, two 10s, and seven 1s. You meet numbers this big when counting all the students in a school or the coins in a piggy bank. Slide to change the number and look at its blocks, then skip-count by equal jumps along a number line to reach big numbers quickly.

Into the thousands

🏙️ What if your school had 1,000 students?
①10 rows of 10 students make 100
②10 groups of 100 make 1,000
③From 1,000 on, numbers get one more place and have four digits

Place value in four-digit numbers

3527
💡 One more place
①A thousands place appears to the left of the hundreds
②The thousands digit tells how many 1,000s there are
③Each of the four columns in the picture shows a digit and that many blocks
④Of the four places, the thousands place has the greatest value

Skip counting

1000
100
🦘 Skip counting
①Skip counting means adding the same number over and over
②The +number over each gold arc is the size of one jump
③Start at the gold number on the far left, and the numbers grow to the right
④Counting by 10s, 100s, or 1,000s makes big numbers quick to count

Wrap-up

Building a four-digit number
thousands × 1000 + hundreds × 100 + tens × 10 + ones × 1
Four-digit numbers go from 1000 to 9999
Skip counting
start → +jump → +jump → …
Skip counting means adding the same number again and again
🎯 Remember
①Four-digit numbers go from 1000 to 9999
②Of the four places, the thousands place has the greatest value
③Skip counting means adding the same number over and over
④Skip counting helps you count big numbers fast
⑤100 tens make 1000

Examples and unit check

Example 1
What four-digit number has 3 thousands, 5 hundreds, 0 tens, and 6 ones?
1
Find the value of each place: 3×1000 = 3000, 5×100 = 500, 0×10 = 0, 6×1 = 6.
2
Add them: 3000 + 500 + 0 + 6 = 3506.
▸ 3506
A 0 in the tens place means there are no tens.
Example 2
Counting by 100s from 2000, what are the next three numbers after 2000?
1
Counting by 100s means adding 100 each time.
2
2000 + 100 = 2100, +100 = 2200, +100 = 2300.
▸ 2100, 2200, 2300
Skip counting follows the rule of adding the same number again and again.
Unit check
What number has 4 thousands, 2 hundreds, 7 tens, and 5 ones?
①4275
②4725
③2475
④4257
▸ ① 4275
1
4 thousands = 4000, 2 hundreds = 200, 7 tens = 70, and 5 ones = 5.
2
4000 + 200 + 70 + 5 = 4275.
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Three-digit Numbers
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Addition & Subtraction with Carrying

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